10071151115520 has 576 divisors, whose sum is σ = 36275612212224. Its totient is φ = 2360086364160.

The previous prime is 10071151115489. The next prime is 10071151115537. The reversal of 10071151115520 is 2551115117001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176154459 + ... + 176211621.

It is an arithmetic number, because the mean of its divisors is an integer number (62978493424).

Almost surely, 2^{10071151115520} is an apocalyptic number.

10071151115520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10071151115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18137806106112).

10071151115520 is an abundant number, since it is smaller than the sum of its proper divisors (26204461096704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10071151115520 is a wasteful number, since it uses less digits than its factorization.

10071151115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57338 (or 57324 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 30.

The spelling of 10071151115520 in words is "ten trillion, seventy-one billion, one hundred fifty-one million, one hundred fifteen thousand, five hundred twenty".